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Finding the Third Proportional to 163,782 and 356,409

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Solution

The third proportional to 163,782 and 356,409 is: 775,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782 : 356,409 = 356,409 : x
  2. Step 2: Convert to fraction form
    163,782/356,409 = 356,409/x
  3. Step 3: Cross multiply
    163,782x = 356,409 × 356,409
  4. Step 4: Simplify right side
    163,782x = 127,027,375,281
  5. Step 5: Solve for x
    x = 127,027,375,281/163,782
  6. Step 6: Final answer
    x = 775,588.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.